Finding the Fourth Proportional to 1,496.84, 2,245.59 and 456.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.84 : 2,245.59 = 456.82 : x
2. Step 2: Convert to fraction form
   1,496.84/2,245.59 = 456.82/x
3. Step 3: Cross multiply
   1,496.84x = 2,245.59 × 456.82
4. Step 4: Simplify right side
   1,496.84x = 1,025,830.42
5. Step 5: Solve for x
   x = 1,025,830.42/1,496.84
6. Step 6: Final answer
   x = 685.33